Suppose that the number x(t) (with t in months) of alligators in a swamp satisfies the differential equation dx/dt = 0.0001x2 − 0.01x.
(a) If initially there are 25 alligators in the swamp, solve tills differential equation to determine what happens to the alligator population in the long run.
(b) Repeat part (a), except with 150 alligators initially.
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